2a5b * 3a4b: Difference between revisions
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There are 7 [[Dome|domes]], each with 7 modes: | There are 7 [[Dome|domes]], each with 7 modes: | ||
<ul><li>abacabc - triple wakalix with 2a5b as a factor in two different ways<ul><li>Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15</li></ul></li><li>Inverse of above | <ul><li>abacabc - triple wakalix with 2a5b as a factor in two different ways. Consists of [[Nicetone|zarlino]], [[omnidiatonic]], and their sisters.<ul><li>Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15</li></ul></li><li>Inverse of above. Provides the chiral reflection of the above scale.</li><li>aabacab - triple wakalix with 1a6b (either [[1L_6s|1L 6s]] or [[6L_1s|6L 1s]]) as third factor<ul><li>The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"</li><li>The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).</li></ul></li><li>abacadc</li><li>abacabd (inverse of above)</li><li>aabacdc</li><li>aabcbad (inverse of above)</li></ul> | ||
[[Category:Product words]] | [[Category:Product words]] | ||
[[Category:Wakalixes]] | [[Category:Wakalixes]] | ||
[[Category:Todo:link]] | [[Category:Todo:link]] | ||
Revision as of 00:04, 28 June 2025
Product scale pattern of 2a5b (either 2L 5s or 5L 2s) and 3a4b (3L 4s or 4L 3s).
There are 7 domes, each with 7 modes:
- abacabc - triple wakalix with 2a5b as a factor in two different ways. Consists of zarlino, omnidiatonic, and their sisters.
- Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15
- Inverse of above. Provides the chiral reflection of the above scale.
- aabacab - triple wakalix with 1a6b (either 1L 6s or 6L 1s) as third factor
- The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"
- The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).
- abacadc
- abacabd (inverse of above)
- aabacdc
- aabcbad (inverse of above)